Pith Number

pith:P7663QYR

pith:2012:P7663QYR4XYM6VH42GJIHVGI6K

not attested not anchored not stored refs pending

Universality of Quark-Lepton Mass Matrix

Hiroyuki Nishiura, Takeshi Fukuyama

arxiv:1212.0071 v2 · 2012-12-01 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7663QYR4XYM6VH42GJIHVGI6K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:06:22.397272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ffdedc311e5f0cf54fcd19283d4c8f298b26ac7180d1f0903ae7b5df8e00a06

Aliases

arxiv: 1212.0071 · arxiv_version: 1212.0071v2 · doi: 10.48550/arxiv.1212.0071 · pith_short_12: P7663QYR4XYM · pith_short_16: P7663QYR4XYM6VH4 · pith_short_8: P7663QYR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/P7663QYR4XYM6VH42GJIHVGI6K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7ffdedc311e5f0cf54fcd19283d4c8f298b26ac7180d1f0903ae7b5df8e00a06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "982bb90e1c0b05d56d3e6f307e75e6801c6f8c7fd1597e10e789bd72b8239856",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-12-01T06:47:01Z",
    "title_canon_sha256": "2d7f7b831f416bae5def1b5a20a56c1ef0d75d162b09e568c8359a70a495d09d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0071",
    "kind": "arxiv",
    "version": 2
  }
}